Search a number
-
+
126705826385 = 5172655313381
BaseRepresentation
bin111011000000001000…
…0010111101001010001
3110010001100100212221122
41312000100113221101
54033443142421020
6134112521332025
712103613516435
oct1660020275121
9403040325848
10126705826385
11498101547a6
1220681637015
13bc43582488
1461bdba89c5
153468a62125
hex1d80417a51

126705826385 has 24 divisors (see below), whose sum is σ = 161553766776. Its totient is φ = 95380346880.

The previous prime is 126705826381. The next prime is 126705826399. The reversal of 126705826385 is 583628507621.

It can be written as a sum of positive squares in 12 ways, for example, as 25446949441 + 101258876944 = 159521^2 + 318212^2 .

It is not a de Polignac number, because 126705826385 - 22 = 126705826381 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126705826381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9462395 + ... + 9475775.

It is an arithmetic number, because the mean of its divisors is an integer number (6731406949).

Almost surely, 2126705826385 is an apocalyptic number.

It is an amenable number.

126705826385 is a deficient number, since it is larger than the sum of its proper divisors (34847940391).

126705826385 is a wasteful number, since it uses less digits than its factorization.

126705826385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19973 (or 19956 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 126705826385 in words is "one hundred twenty-six billion, seven hundred five million, eight hundred twenty-six thousand, three hundred eighty-five".

Divisors: 1 5 17 85 289 1445 6553 13381 32765 66905 111401 227477 557005 1137385 1893817 3867109 9469085 19335545 87685693 438428465 1490656781 7453283905 25341165277 126705826385